5 cm
What is measure of angle A?
3 cm
Enter your answer as a decimal in the box.
Round only your final answer to the nearest
hundredth
4 cm
Answers
Answer:
The graph is missing, so there are two options m∠A = 36.87° or m∠A = 53.13°
Step-by-step explanation:
Assuming that 3 cm, 4 cm and 5 cm are the length of the sides of a triangle, then a right triangle is formed, in which 5 cm is the length of the hypotenuse and 3 cm and 4 cm are the length of the legs.
Angle A is either the angle between 4 cm and 5 cm sides or between 3 cm and 5 cm sides. For the first case:
cos(A) = adjacent/hypotenuse =
cos(A) = 4/5
A = arccos(4/5) = 36.87°
For the second case:
cos(A) = 3/5
A = arccos(3/5) = 53.13°
The measure of angle [tex]\( A \)[/tex] is approximately [tex]\( 53.13^\circ \)[/tex].
Given a right triangle [tex]\( \triangle ABC \)[/tex] with the following side lengths:
[tex]\( AB = 3 \) cm[/tex]
[tex]\( BC = 4 \) cm[/tex]
[tex]\( AC = 5 \) cm[/tex]
We need to find the measure of angle [tex]\( A \)[/tex].
Since [tex]\( \triangle ABC \)[/tex] is a right triangle, and the side lengths 3, 4, and 5 satisfy the Pythagorean theorem [tex](\( 3^2 + 4^2 = 5^2 \))[/tex], we can proceed to use trigonometric ratios to find the measure of angle [tex]\( A \)[/tex].
Using Trigonometric Ratios
The trigonometric function tangent is often used in right triangles. The tangent of an angle in a right triangle is the ratio of the opposite side to the adjacent side.
For angle [tex]\( A \)[/tex]:
[tex]\[\tan(A) = \frac{\text{opposite}}{\text{adjacent}} = \frac{BC}{AB} = \frac{4}{3}\][/tex]
To find the measure of angle [tex]\( A \)[/tex], we use the arctangent (inverse tangent) function:
[tex]\[A = \tan^{-1}\left(\frac{4}{3}\right)\][/tex]
[tex]\[A \approx \tan^{-1}(1.3333) \approx 53.13^\circ\][/tex].
The complete question is:
What is measure of angle A?
Related Questions
If 30% of the people who shop at a local grocery store buy chocolate ice-cream, what is the probability that it will take at least 5 customers to find one who buys chocolate ice-cream?
Heather set up a simulation using a random digits table select one digit numbers where 0-2 is a customer who buys chocolate ice cream and 3-9 is a customer who does not. Keep selecting one digit numbers until you get a 0-2. Record the number of digits selected.
Her results are shown in the table after 15 trials. What is the probability that it will take at least 5 customers to find one who buys chocolate ice cream?
Answers
Answer:
A
Step-by-step explanation:
Since you are trying to find the probability that it takes at least five customers count up all the trials where 5 or more numbers were used. Put that number over the total number of trials (15). The correct answer is 4/15
The probability that it will take at least [tex]5[/tex] customers to find one who buys chocolate ice cream is approximately [tex]53.33\%[/tex]
The correct probability that it will take at least [tex]5[/tex] customers to find one who buys chocolate ice cream is the number of trials where it took at least [tex]5[/tex] customers to find a chocolate ice cream buyer divided by the total number of trials.
Let's denote the number of trials where it took at least [tex]5[/tex] customers as [tex]\( A \)[/tex] and the total number of trials as [tex]\( T \)[/tex] The probability [tex]\( P \)[/tex] is then given by:
[tex]\[ P = \frac{A}{T} \][/tex]
From the given data, we have:
[tex]\( A = 8 \)[/tex] (since there are [tex]8[/tex] trials where it took [tex]5[/tex] or more customers)
[tex]\( T = 15 \)[/tex] (since there are [tex]15[/tex] trials in total)
Now, we can calculate the probability:
[tex]\[ P = \frac{8}{15} \][/tex]
This is the probability that it will take at least [tex]5[/tex] customers to find one who buys chocolate ice cream.
To express this probability as a percentage, we multiply by [tex]100[/tex]
[tex]\[ P(\%) = \frac{8}{15} \times 100 = \frac{800}{15} = 53.33\% \][/tex]
claris brought 8 tickets for a total cost of $104. she had used a coupon code to get $3 off each ticket. let x be the original cost of each ticket. write an equation that correctly represents the situation.
Answers
Answer:
8 = 104 - 3x
Step-by-step explanation:
Follow the steps to solve this equation:
−2x + 6x − 8 = 12
Step 1: Combine like items.
Step 2: Undo the subtraction.
Step 3: Undo the multiplication.
4x − 8 = 12
4x − 8 + 8 = 12 + 8
4x = 20
4
4
x =
20
4
x =???
Answers
This is because you divide 20/4 since you divide 4 from each side.
Answer: x = 5
Step-by-step explanation:
[tex]-2x+6x-8=12\\4x-8=12\\4x=20\\x=\frac{20}{4}\\ x=5[/tex]
A sphere has a radius of 5 inches. What is its volume?
Sphere V =
np3
1. Substitute the radius into the formula:
2. Evaluate the power:
V = 4(53)
V = T(125)
V = 125
3.
Simplify:
in.
Answers
The volume of a sphere with a radius of 5 inches is 523.6 cubic inches.
Explanation:To find the volume of a sphere, you can use the formula V = (4/3)πr³, where V represents the volume and r represents the radius.
In this case, the radius is given as 5 inches. So we substitute 5 into the formula:
V = (4/3)π(5)³
Simplifying the expression:
V = (4/3)π(125)
Finally, we calculate the volume:
V = 523.6 cubic inches
Learn more about Volume of a sphere here:https://brainly.com/question/21623450
#SPJ12
The two sets of data below show the number of bubbles blown in fifty trials using two different bubble solutions.
A box plot titled Bubbles Created with Solution 1. The number line goes from 80 to 116. The whiskers range from 80 to 114, and the box ranges from 100 to 112. A line divides the box at 110.
Bubbles Created with Solution 1
A box plot titled Bubbles Created with Solution 2. The number line goes from 72 to 110. The whiskers range from 72 to 110, and the box ranges from 74 to 80. A line divides the box at 76.
Bubbles Created with Solution 2
Which best describes the measure of center that can be used to most accurately compare the two data sets?
the mean, because it increases the influence of outliers
Answers
Answer:
d
Step-by-step explanation:
i got it right
Answer:
the median, because it decreases the influence of outliers
Step-by-step explanation:
Two angles of a quadrilateral measure 25° and 280°. The other two angles are in a ratio of 5:6. What are the measures of those two angles?
Answers
Answer:
25 and 30
Step-by-step explanation:
because one angle measures 280 and the other 25 you add it.
280 + 25 = 305
Since there is 360 degrees in a quadrilateral you subtract
360 - 305 = 55
the other 2 measures are in the ratio of 5:6
So add those to ratios 5 + 6 = 11
55/11 = 5
multiply it by the ratio
5 * 5 = 25
5 * 6 = 30
The circumference of a circle is 16π cm. What is the area, in square centimeters? Express your answer in terms of \piπ.
Answers
Answer:
64 pi
Step-by-step explanation:
lmk if you need an explanation
Answer:
[tex]64\pi[/tex]
Step-by-step explanation:
The area of a circle can be found using:
[tex]a=\pi r^{2}[/tex]
We have the circumference, but we need the radius. Circumference can be found using:
[tex]c=2\pi r[/tex]
We know the circumference is 16[tex]\pi[/tex], so we can substitute that in for c
16[tex]\pi[/tex] =2[tex]\pi[/tex] r
We need to solve for r, or the radius. To do this, divide both sides by 2[tex]\pi[/tex]. This will get r by itself.
16[tex]\pi[/tex] /2[tex]\pi[/tex] =2[tex]\pi[/tex] r/2[tex]\pi[/tex]
8=r
Now we know the radius, and can substitute it into the area formula
[tex]a=\pi r^2[/tex]
Substitute 8 in for r
[tex]a=\pi 8^2[/tex]
[tex]a=64\pi[/tex]
This answer is expressed in terms of pi, since it includes pi in the answer. Therefore, the area, in terms of pi is [tex]64\pi[/tex]
Please Help! If (5x-2)^2=ax^2-bx+c, what is the value of a+c^2?
Answers
Answer:
The solved problem is in the photo. Hope it helps.
The value of a, b, and c is 25, -20, and 4 respectively. Then the value of the expression will be 41.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
If (5x - 2)² = ax² - bx + c.
Then the value of the expression will be a + c²
Open the bracket, then we have
(5x - 2)² = 25x² - 20x + 4
Then the value of the a, b, and c will be
a = 25, b = -20, c = 4
Then the value of the expression a + c² will be
→ 25 +4²
→ 41
More about the Algebra link is given below.
https://brainly.com/question/953809
What’s the value??????
Answers
Answer:
x = -1, x = 3 (B)
Step-by-step explanation:
25ˣ=5ˣ²⁻³
Can be simplified to:
5²ˣ=5ˣ²⁻³
2x=x²-3
x²-2x-3=0
(x-3)(x+1)
x = -1, x = 3
Plz mark my answer as brainiest
Answer:
B x=-1 x=3
Step-by-step explanation:
25^x = 5 ^ (x^2 -3)
Replace 25 by 5^2
5^2^x = 5 ^ (x^2 -3)
We know that a^b^c = =a^(b*c)
5^(2x) = 5 ^ (x^2 -3)
The bases are the same so the exponents must be the same
2x = x^2 -3
Subtract 2x from each side
2x-2x = x^2 -3 -2x
0 = x^2 -2x-3
Factor
0 =(x-3) (x+1)
Using the zero product property
x-3 =0 x+1 =0
x=3 x=-1
a hotel swimming pool is made up of four semicircles and a square. Find the perimeter of the swimming pool. Round your answer to the nearest tenth
Answers
Answer:
62.8
Step-by-step explanation:
d=10
10x3.14
31.4
31.4x2
62.8 is the perimeter
Logan rode his bike 2 1/2 miles in 10 minutes. At this pace, how far can Logan ride his bike in an hour?
a.4 miles
b.25 miles
c.15 miles
d.10 miles
The principal of Brookefield Middle School maintains order by appointing 2 hall monitors for every corridor, and 4 teachers for every 12 hall monitors. If the school has 24 corridors, how many teachers would be required to maintain order in the school?
a.16
b.14
c.12
d.18
The expression 96.8 + (365.21 - 98.76) represents A.
The expression 96.8 + (64.87 - 71.25) represents B.
The numerical value of A - B is)_______
The numerical value of B - A is)_______
Maura works at a car dealership. She earns a base salary plus a commission that is 7% of her total sales.
How much commission does Maura earn from a $30,000 sale?
a.2,100
b.210
c.4,286
d.9,00
Answers
Answer:
The first one is c.
The second one is a.
third is 272.83 and -272.83
fourth is a
Step-by-step explanation:
your welcome
- 3 when x = -2?
What is the point on the graph of the function f(x) = (x +
Enter your answer in the boxes.
THESE
Answers
Answer:
The point is (-2, -3)
Step-by-step explanation:
Given function:
[tex]f(x)= (x+2)^2-3[/tex]
For: [tex]f(x)=y[/tex] and [tex]x=-2[/tex]
[tex]f(-2)= (-2+2)^2-3\\f(-2)= (0)^2-3\\f(-2)= -3\\[/tex]
∴[tex]y=-3; x=-2[/tex]
Over what interval is the graph of f(x) = –(x + 8)2 – 1 decreasing?
(negative 8, infinity)
(8, infinity)
(negative infinity, 8)
(negative infinity, negative 8)
Answers
Answer:
A. -8, infinity
Step-by-step explanation:
2020 edg
Using quadratic function concepts, it is found that the function is decreasing over the interval (-8, infinity).
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
[tex]y = a(x - h)^2 + k[/tex]
In which a is the leading coefficient, determining the behavior of the function as follows.
If a > 0, it decreases for (-infinity, h) and increases for (h, infinity).If a < 0, it increases for (-infinity, h) and decreases for (h, infinity).In this problem, the equation is given by:
[tex]f(x) = -(x + 8)^2 - 1[/tex]
Hence the coefficients are a = -1 < 0, h = -8, k = 1, meaning that the function is decreasing over the interval (-8, infinity).
More can be learned about quadratic function concepts at https://brainly.com/question/24737967
What is the lcm of 8,12,3
Answers
Answer: 24
Step-by-step explanation:
Lowest common multiple means the lowest number that can be divisible by 8,12,3
Looking at this, let's pick 8&3 first
8×3=24
12×3=36
12×8=96
Looking at this value,24 seems to be the lowest,
Therefore the lowest common multiple is 24
please help
Jonathan is trying to drain his pool to install a new liner. The graph below represents the amount of water remaining in his pool as he drains it.
Answers
the dependent variable is # of gallons.
the slope is -125.
the y intercept is 13000
3000
A)
Number of Gallons drained per hour; Number of hours (Independent Variables)
Number of Gallons in the pool (Dependent Variable)
B) -25 (It's the negative value of how many gallons are drained in an hour)
C)13000 (It means how many gallons were in the pool to begin with)
D)3000 (It's the corresponding value for 40 as the x-value)
2000 is placed into a bank account that pays 3% compound interest per year
Answers
The compound interest on 2000 is 60.
Step-by-step explanation:
Given,
Principal (P) = 2000
Rate of interest (r) = 3%
Time (T) = 1 years
To find the interest calculated compound in 1 year.
Formula
Amount = P[tex](1+\frac{r}{100} )^{T}[/tex]
Putting the given values we get,
Amount = 2000[tex](1+\frac{3}{100} )^{1}[/tex]
= 2060
So,
The interest = 2060-2000 = 60
Evaluate the arithmetic series described : 2+(-2)+(-6)+(-10)...,510
Answers
The area of a rhombus can be evaluated using the formula 1/2d1d2 where d1 represents the measure of one of its diagonals and d2 represents the measure of its other diagonal. When d1 is a terminating decimal and d2 is a repeating decimal, what can be concluded about the area of the rhombus?
Answers
The area of the rhombus is a rational number, specifically 5/12, which can be expressed as a fraction. Therefore, we can conclude that when d1 is a terminating decimal and d2 is a repeating decimal, the area of the rhombus can be expressed as a rational number.
What are the rational numbers?
When d1 is a terminating decimal and d2 is a repeating decimal, we can conclude that the area of the rhombus can be expressed as a rational number.
To see why, consider the formula for the area of a rhombus: A = (1/2)d1d2. If d1 is a terminating decimal, it can be expressed as a finite fraction.
For example, if d1 = 1.25, then d1 can be expressed as 5/4. If d2 is a repeating decimal, it can be expressed as an infinite series of the form:
d2 = a + b/10 + c/100 + ...
where a, b, c, etc. are digits. We can express this as a fraction by multiplying both sides by a power of 10 which eliminates the repeating decimal. For example, if d2 = 0.666..., we can multiply both sides by 100 to get:
100d2 = 66.666...
Subtracting d2 from both sides, we get:
99d2 = 66
So, d2 = 66/99, which can be simplified to 2/3.
Substituting these values into the formula for the area of the rhombus, we get:
[tex]A = (1/2)(5/4)(2/3)\\= 5/12[/tex]
So, the area of the rhombus is a rational number, specifically 5/12, which can be expressed as a fraction. Therefore, we can conclude that when d1 is a terminating decimal and d2 is a repeating decimal, the area of the rhombus can be expressed as a rational number.
Learn more about rational numbers here:
https://brainly.com/question/29767698
#SPJ7
What is the answer 2+495758?
Answers
Answer:
495760
Step-by-step explanation:
Answer:
495760
Step-by-step explanation:
add 2 to 8
Express 150% of 60% as a percent.
Answers
Answer:
0.9 ≈ 90%
Step-by-step explanation:
60% = 60/100
150% of 60% = 150/100 * 60/100
= 9000/10000
= 0.9 ≈ 90%
I need help I don’t really don’t understand this and the first on I will give you brainlist
Answers
17 Points! Help Me please!
Answers
Answer:
This is the completed table:[tex]\left[\begin{array}{ccccccccccc}trapezoids&1&2&3&4&5&6&10&18&n\\perimeter&10&16&22&28&34&40&64&112&6n+4\end{array}\right][/tex]
for the words and graph please see below and the attached image.
Step-by-step explanation:
Notice that every time you add a trapezoid in the given fashion (attached to the right of the previous figure) yo are adding a net of 6 units (2+4) to the total perimeter (which started in the first figure as 2+2+2+4 = 10).
We can then write the following values to complete the given table:
1 trapezoid , gives perimeter = 1*4 + 3*2 = 10
2 trapezoids, give perimeter = 2*4 + 4*2 = 16
3 trapezoids, give perimeter = 3*4 + 5*2 = 22
4 trapezoids, give perimeter = 4*4 + 6*2 = 28
5 trapezoids, give perimeter = 5*4 + 7*2 = 34
6 trapezoids, give perimeter = 6*4 + 8*2 = 40
10 trapezoids, give perimeter = 10*4 + 12*2 = 64
n trapezoids, give perimeter = n*4 + (n+2)*2 = 4n + 2n + 4 = 6n + 4
Now, given this general relationship for "n" trapezoids, one can find the number of trapezoids that render a perimeter = 112, as required in the table:
6n + 4 = 112
then 6n = 112 - 4 = 108
then n= 108/6 = 18
so 18 trapezoids give a perimeter of 112 (to complete that missing value in the table).
Now, we can plot a general function of similar form of that we got for a collection of n trapezoids but using "x" instead of "n" and having clear in our mind that the values we want to use are only positive integers greater than zero to represent the number of trapezoids:
f(x) = 6x +4
See attached image were the actual valid points are marked as blue dots.
A shoe store is selling a pair of shoes for $60 that has been discounted by
25%. What was the original selling price?
Answers
Answer:
$80
Step-by-step explanation:
25% is 1/4 of a whole with 75% of the cost left over, so $60 is 1/3 of the price. divide 60 by 3=$20, $20 discounted, original price $80
On Tuesday, Franklin deposited $35 into his account. On Wednesday, he withdrew $25. Evaluate the expression ⎪35⎥ - ⎪-25⎥ to find the net change of his account.
Question 7 options:
A:10
B:-10
C:None of the Above
D:60
Answers
The net change of Franklin's account is 10.
Explanation:Subtraction is a fundamental arithmetic operation that involves finding the difference between two numbers. It is denoted by the minus sign (-). To subtract one number from another, align the digits according to place value and subtract each column, starting from the rightmost column
To find the net change of Franklin's account, we need to evaluate the expression |35| - |-25|.
The absolute value of 35 is 35, and the absolute value of -25 is 25.
Subtracting these values, we have 35 - 25 = 10.
Therefore, the net change of Franklin's account is 10.
Learn more about Net Change of an Account here:https://brainly.com/question/29989249
#SPJ2
Q12: Annette plans to visit an amusement park where she must pay for admission and purchase tickets to go on the rides. Annette wants to find the total cost for a day at the amusement park. She wrote the equation c=1.50x+12 to predict c, the total cost for a day at the amusement park. What could the number 12 represent in Annette’s equation? A the number of rides B the cost of admission C the cost of each ticket D the number of tickets
Answers
Answer:
B
Step-by-step explanation:
B because an admission is a constant.
Answer:
C=1.50x+12
Step-by-step explanation:
1 ride with admission is $13.50
2 rides with admission is $15.00
3 rides with admission is $16.50
4 rides with admission is $18.00
It's $1.50(x) difference between each total cost(c) letting us know that is the cost for 1 ticket meaning it cost $12.00 for admission.
A sidewalk around a circular garden is 3 feet wide what is the area of the sidewalk
Answers
We can see here that the area of the sidewalk surrounding the circular garden is approximately 216.66 ft².
To find the area of the sidewalk surrounding the circular garden, we need to calculate the difference between the area of the larger circle and the area of the smaller circle.
The radius of the circular garden is given as 10 ft. The radius of the garden plus the sidewalk is equal to the sum of the radius of the garden and the width of the sidewalk. Since the width of the sidewalk is 3 ft, the radius of the larger circle (including the sidewalk) is 10 + 3 = 13 ft.
Now, let's calculate the area of the larger circle using the formula A = πr², where A represents the area and r represents the radius. Substituting the values, we have A = 3.14 × (13)² = 3.14 × 169 = 530.66 sq ft.
Next, we calculate the area of the smaller circle (just the garden) using the same formula. A = 3.14 × (10)² = 3.14 × 100 = 314 sq ft.
Finally, we subtract the area of the smaller circle from the area of the larger circle to find the area of the sidewalk. 530.66 - 314 = 216.66 sq ft.
Therefore, the area of the sidewalk surrounding the circular garden is approximately 216.66 square feet.
The complete question is:
A sidewalk that is 3 ft wide surrounds a circular garden with a radius of 10 ft. What is the area of the side walk? use pi=3.14
What’s 2x+4 equal because I’ve been thinking what it was
Answers
Hope this will help u....
Answer:
0
Step-by-step explanation:
2x+4
x= -4/2
x= -2
2(-2)+4
-4+4
= 0
Michael recorded the color of each car that passed by his office. He saw 30 blue cars and 40 green cars. What is the experimental probability that the next car Michael sees will be a blue car?
Answers
Answer:
3/7
Step-by-step explanation:
6x9 = (6 * 5) + (6
)
What is the missing number
Answers
Answer:
*4
Step-by-step explanation:
Answer:
4
6x9=54=(6*5)+(6*4)
Step-by-step explanation:
6x9=54=(6*5)+(6*4)
6x9=54
54 is the number you are trying to get
6*5= 30
so now you need something to add up to 54
6*4=24
24+30=54
Find A U C.
A) {2,3,5,6,7,9,11}
B) {3,5,6,7,8,11,12}
C) {3,5,6,7}
D) {3,5,7}
Answers
Answer:
A U C = {2,3,5,6,7,9,11}
Step-by-step explanation:
A = {2,3,5,6,7,9,11}
C = {3,5,6,7}
The union of two sets is a set that has every element that belongs to one or the other set.
A U C = {2,3,5,6,7,9,11}